Solving Universal Gravity Questions: Speed of Earth, Pallas' Orbit

  • Thread starter Thread starter hoooossein
  • Start date Start date
  • Tags Tags
    Gravity Universal
Click For Summary
SUMMARY

The discussion focuses on calculating the speed of Earth in its orbit around the Sun and determining the semi-major axis of the asteroid Pallas, which has an orbital period of 4.62 years. To find the speed of Earth, users should apply the formula for orbital speed, which is derived from gravitational principles. For the semi-major axis of Pallas' orbit, Kepler's Third Law can be utilized, specifically the formula \( a^3 = T^2 \), where \( a \) is the semi-major axis in astronomical units (AU) and \( T \) is the orbital period in years.

PREREQUISITES
  • Understanding of Kepler's Laws of Planetary Motion
  • Familiarity with orbital mechanics
  • Basic knowledge of gravitational formulas
  • Ability to perform unit conversions (e.g., years to astronomical units)
NEXT STEPS
  • Study Kepler's Laws in detail, focusing on their applications in celestial mechanics
  • Learn how to calculate orbital speed using gravitational formulas
  • Explore the concept of semi-major axes and their significance in orbital dynamics
  • Investigate the relationship between orbital period and distance for various celestial bodies
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in understanding planetary motion and orbital mechanics.

hoooossein
Messages
4
Reaction score
0
hey i have 2 very simple questions i can't seem to do.

1) determine the speed of the Earth around the sun...

2)The asteroid Pallas has an orbital period of 4.62 years. find the semi-major axis of its orbit.


i no these r simple but i just can't seem to get them can someone help me or let me know of some formulas that will help? thank you in advance
 
Physics news on Phys.org
Look up Kepler's laws in your book.
 

Similar threads

Velocity required to escape the solar system
  • · Replies 15 ·
Replies
15
Views
2K
Find the location knowing the resonance using Kepler's third law
  • · Replies 2 ·
Replies
2
Views
1K
Speed of a star in Special Relativity
  • · Replies 6 ·
Replies
6
Views
1K
What is the orbital period of an asteroid between Earth and Jupiter?
  • · Replies 2 ·
Replies
2
Views
2K
Orbital speed variation as a planet orbits the Sun
  • · Replies 5 ·
Replies
5
Views
2K
Calculating Angle & Speed to Reach Planet's Moon from Station Orbit
  • · Replies 1 ·
Replies
1
Views
2K
How Long for a Beam of Light to Reach Earth?
  • · Replies 21 ·
Replies
21
Views
2K
Extra speed necessary to orbit at 970 km
  • · Replies 8 ·
Replies
8
Views
2K
How Does Satellite Mass Impact Velocity Change for Circular Orbit Achievement?
  • · Replies 5 ·
Replies
5
Views
3K
Change in the Earth's orbit radius from changing mass of the Sun
  • · Replies 5 ·
Replies
5
Views
2K